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Nontrivial solution for quasilinear elliptic systems in divergence form
1 : Laboratory of Applied Mathematics and History and Didactics of Maths "LAMAHIS", Department of Mathematics, University of 20 August 1955, Skikda, Algeria
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In this paper we study the existence of nontrivial weak solutions for quasilinear elliptic system in divergence form. By means of the copmactness method, with suitable assumptions on the nonlinearities, we obtain the existence of nontrivial weak solutions.
